In this paper a new class of life distribution is proposed, named new better than renewal used in Laplace transform order (NBRUL). Test statistic for testing exponentiality versus (NBRUL) based on U-statistic is proposed. Pitman,s asymptotic efficiencies of the test are calculated and compared with other tests. The percentiles of this test statistic are tabulated and the powers of this test are estimated for some famously alternatives distributions in reliability such as Weibull, linear failure rate (LFR) and Gamma distributions. Finally, examples in different areas are used as practical applications of the proposed test.
Digital Object Identifier (DOI)
M. EL-Sagheer, Rashad
"Testing Exponentiality Aganist New Better Than Renwal Used in Laplace Transform Order,"
Journal of Statistics Applications & Probability: Vol. 5
, Article 9.
Available at: https://dc.naturalspublishing.com/jsap/vol5/iss2/9